28344960 has 384 divisors, whose sum is σ = 120931200. Its totient is φ = 5971968.

The previous prime is 28344949. The next prime is 28344961. The reversal of 28344960 is 6944382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28344961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766062 + ... + 766098.

It is an arithmetic number, because the mean of its divisors is an integer number (314925).

Almost surely, 2^28344960 is an apocalyptic number.

28344960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60465600).

28344960 is an abundant number, since it is smaller than the sum of its proper divisors (92586240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28344960 is a wasteful number, since it uses less digits than its factorization.

28344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28344960 is about 5323.9984973702. The cubic root of 28344960 is about 304.9008367050.

The spelling of 28344960 in words is "twenty-eight million, three hundred forty-four thousand, nine hundred sixty".